{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 13.4. Simulating a stochastic differential equation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma = 1.  # Standard deviation.\n",
    "mu = 10.  # Mean.\n",
    "tau = .05  # Time constant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dt = .001  # Time step.\n",
    "T = 1.  # Total time.\n",
    "n = int(T / dt)  # Number of time steps.\n",
    "t = np.linspace(0., T, n)  # Vector of times."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma_bis = sigma * np.sqrt(2. / tau)\n",
    "sqrtdt = np.sqrt(dt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.zeros(n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(n - 1):\n",
    "    x[i + 1] = x[i] + dt * (-(x[i] - mu) / tau) + \\\n",
    "        sigma_bis * sqrtdt * np.random.randn()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x70c65c0>"
    }
   },
   "outputs": [
    {
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FBepcLEC+PEBAESgmZu2MpPy1NJIOVTXI5GCYizaOlVWF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\nVpI032Z3mBPXPdandpt2RbQzAipLS531g+u0eTDU2ZCldc5Ms6vwsqzRp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      "text/plain": [
       "<matplotlib.figure.Figure at 0x70c65c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(8, 4))\n",
    "ax.plot(t, x, lw=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "ntrials = 10000\n",
    "X = np.zeros(ntrials)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "podoc": {
     "output_text": "<matplotlib.figure.Figure at 0x6f6dba8>"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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12lpilh56CIN7sHNSQMGQEAAAAAAIwmb6mG4ZRTTonvfve78bnP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gOPH4ilz3lEwm9eabbxrXBgAUH9OxYp4jzZ5AOAj50WghHNTSZXbyEAAAAAAUqzBIyT/8inEd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hjGWEoZAADHBAYGqnbt2oZ4enq6CgoKHMptq5HA\nWQ0MQFl29erVEstt69pnBWvAtQQFBZnOEzP/BdyYUlJSFBYWppMnTxrG6tSpo82bN6tRo0YWVAYA\n7oHmIAAu5dChQxo4cKAuXrxoGLvtttu0fv16tksBiiAwMND0h9JXX33lUF6z4ytXrqzOnTs7lBeA\nbadOnVJYWJh+++03w9jNN9+szZs3q1atWhZUBgCA++jZs6chlpOTox9++MGhvLa2F+TeDTiuevXq\nhphZM709zPJ4enrKz8/PKfkBOEfFihXVqVMnQ3zfvn3KycmxO6+t+bOQkBC7cwK4vtTUVIWFhen7\n7783jNWoUUMxMTFq0qSJBZUBgPsob3UBAHDN0aNHNWDAAGVkZBjGgoKC9NFHH6lq1aoWVAbcmO6+\n+26tWLGiUOzkyZOKj4+3uXXC9aSkpGjv3r2GeEhIiLy8vOyuE4Btv/zyi8LCwvTzzz8bxq4tpVyv\nXj0LKgPwZ+3atVNaWprT8pmtBNa9e3dt27bNaecAUFjfvn21fv16Q3z//v1q1qyZXTmvXr2qb7/9\n1hCvU6eOAgMD7coJ4P/UqFFDv/zyS6FYUlKS0tLSHFpV8+rVq6ZbEvn5+cnTk3dtAVfTp08fffPN\nN4ViWVlZ+vzzzxUaGlrsfLm5ufrkk08M8TZt2qhBgwZ21wnAtoyMDA0YMEBHjx41jFWrVk2bNm1S\nq1atLKgMwDW+vr5Onftq27atzpw5UyjWsGFDHT582GnngBG/ZgC4hGvbpZjtF9+yZUu2SwHsMHDg\nQNP4u+++a1e+1atXKz8/3xAfNGiQXfkAXN+1pZRPnz5tGKtbt662bNmigIAACyoDAMD93HvvvfLx\n8THEo6Ki7M75xRdfKCUlxRAPDg62OyeA/2P2kPDq1avavn27Q3ljY2NNH3y0bdvWobwASsaAAQPk\n4eFhiNs7/xUdHW26LSjzX0DJyM7O1uDBg3Xw4EHDWNWqVbVx40a7XnQFABjRHATAcqdPn1ZYWJjO\nnTtnGGvcuLFiYmJUs2ZNCyoDbmxdunRRy5YtDfG1a9eaNhtcT3p6upYuXWqI16pVS/fee6/dNQIw\nl5aWpvDwcJ04ccIwVrNmTcXExKhx48YWVAYAgHuqVKmSIiIiDPE9e/YoLi6u2PkKCgq0aNEi07G+\nffsWOx8AozvvvNM0vnDhQhUUFNidd8GCBcU6HwBr+fv766677jLEd+zYoQMHDhQrV15enubPn2+I\ne3l5mX5PAOCYnJwcPfTQQ9q/f79hrHLlyoqKijLdOhAAYB+agwBY6uzZsza3S2nYsKG2bNmiunXr\nWlAZcOPz8PDQxIkTDfGcnBxNmjSpWJOlzz33nM6fP2+IP/LII6pYsaJDdQIoLDMzUwMGDNCRI0cM\nY76+voqOjjZt/AMAAI6ZOHGiKlSoYIg/8cQTunTpUrFyLV++3HRL3sDAQIWHh9tdI4D/07t3b5Uv\nX94QP3z4sM0Gn7/zwQcf6PPPPzcd69Onj105AZS8J5980jQ+adKkYt3DFyxYoOPHjxviERERzFED\nTpaXl6dRo0Zp586dhjFvb2+tWbNG3bt3L/3CAMCN0RwEwDIXLlzQAw88oFOnThnG6tevr61bt8rf\n37/0CwPcSEREhNq0aWOIf/XVV3r66aeL1CC0aNEivf/++4Z4/fr1NWHCBKfUCeC/Ll26pIiICH33\n3XeGMR8fH23atIntDAAAKCENGzbU448/bognJiZq0KBBunjxYpHyrFu3Ts8884zp2OTJk02bGQAU\nX+3atTVy5EjTsZkzZ+qtt94qVr6oqChNnjzZdKx///6m25gBcA133HGH6cp8R48e1dixY3XlypW/\nzbFx40a98sorhniVKlU0bdo0p9QJ4L+uXr2qRx55RJ999plhrEKFClq9ejUr9gFACfBIS0uzf41V\nAHDAfffdpz179piODRkyRE2bNnXaucaPH69q1ao5LR9wI4mLi1O/fv2Ul5dnGOvdu7fmzp2rJk2a\nGMbOnj2rF198UevXrzfN+8EHH+j+++93er1AWTZhwgStXbvWdKxv377q2LGj0841ZMgQBQQEOC0f\nAOfx9fU1xLp3765t27ZZUA1QtmRnZ6tnz576/vvvDWM333yzZs6cqXvvvVeensb37ZKTk/Xyyy8r\nKirKtAn/7rvv1rp160yPBWCfX3/9VbfddpuysrJMx3v37q0pU6bo9ttvt5kjPj5e8+fP1+bNm03H\nK1SooD179qh58+ZOqRlwF1FRUTpz5sx1P5OQkKCtW7ca4qGhoWrXrt11j23YsGGxtvI6deqUgoOD\nlZGRYRjr0KGD5s+fr1tuucUwlpaWpjlz5mjp0qWm9+/Zs2fzchzciitcu7Nnz9acOXNMx7p27ape\nvXpd9/ji6Nevn4KCgpyWD7CSK1y/ztK2bVvD36Vhw4Y6fPhwqZy/rKI5CIBlzP7jLynx8fFq1KhR\nqZwLcEVvvPGGnn/+edMxDw8Pde7cWbfeeqt8fX2VmZmpw4cPa+/evaYNRdJ/Gxhmz55dkiUDZdL1\nGmedbevWrbrjjjtK5VwAiofmIMBax44dU9++fU0fLkpSzZo1FRwcrPr166tixYo6f/68Dh8+rO++\n+87mypyBgYHauXOn6fUNwDGfffaZhg0bpvz8fJufqVevnm6//XbVrVtXPj4+unjxos6dO6f9+/f/\n7dzU0qVLS+0hCXAjKenfr/Z8/42JidHo0aNt3o/btWunLl26qHr16rp06ZKOHz+uXbt26fLly6af\nv//++/XBBx8Uu3bAlbnCtXu9l+Oc7c0339SwYcNK5VxASXOF69dZaA6yBusYAwBQBkycOFHnz5/X\nokWLDGMFBQWKjY1VbGxskXINHjxYL7/8srNLBAAAAFxCq1attHHjRg0cONC0Qej8+fPatGlTkfO1\nbt1aa9eupTEIKCH33HOPXn/9dUVGRtp8weXs2bOKjo4uVl5PT09Nnz6dxiDgBhIeHq7z589rypQp\npg1CCQkJSkhIKFKu4OBgrVixwtklAgAAWIZ1jAEAKCOmT5+uefPmydvb267jy5Urp6lTp+rtt99m\nKwQAAAC4tc6dO2vHjh1q3bq1Q3lCQ0P1+eefs5ItUMKGDRumL774Qs2aNXNKPn9/f8XExGjixIlO\nyQeg9IwdO1bvvfeefHx87M4xevRobdy4URUrVnRiZQAAANbiyR4AAGXImDFjtG/fPoWGhharwadn\nz57asWOHnnnmGXl4eJRghQAAAIBraNq0qXbt2qVZs2apfv36xTq2W7du2rZtm95//33ddNNNJVQh\ngD+79dZbtWvXLi1cuFBBQUF25WjSpIlmzZqlvXv3Kjg42MkVAigtoaGhiouL04gRI+Tl5VXk4267\n7TZt3rxZCxYsKNZxAAAANwKPtLQ0881XAQCAWzt9+rS2bt2qPXv2KDExUefOndOlS5dUsWJFVa9e\nXS1atFDXrl113333qWXLllaXCwAAAFgmLy9PO3bs0Pbt2xUfH6+ffvpJ6enpKigoUPXq1VWjRg0F\nBgYqJCREvXr1UtOmTa0uGSjzEhISFBsbq2+//VbHjh1Tamqq0tPTlZWVpSpVqsjHx0e+vr5q3ry5\nbrvtNnXp0kW33XYbL8QAbubcuXP6+OOPtWvXLh07dkxnz55VVlaWvLy85Ofnp2bNmqlTp0669957\n1aFDB6vLBQAAKDE0BwEAAAAAAAAAAAAAAABuim3FAAAAAAAAAAAAAAAAADdFcxAAAAAAAAAAAAAA\nAADgpmgOAgAAAAAAAAAAAAAAANwUzUEAAAAAAAAAAAAAAACAm6I5CAAAAAAAAAAAAAAAAHBTNAcB\nAAAAAAAAAAAAAAAAbormIAAAAAAAAAAAAAAAAMBN0RwEAAAAAAAAAAAAAAAAuCmagwAAAAAAAAAA\nAAAAAAA3RXMQAAAAAAAAAAAAAAAA4KZoDgIAAAAAAAAAAAAAAADcFM1BAAAAAAAAAAAAAAAAgJui\nOQgAAAAAAAAAAAAAAABwUzQHAQAAAAAAAAAAAAAAAG6K5iAAAAAAAAAAAAAAAADATdEcBAAAAAAA\nAAAAAAAAALgpmoMAAAAAAAAAAAAAAAAAN0VzEAAAAAAAAAAAAAAAAOCmaA4CAAAAAAAAAAAAAAAA\n3BTNQQAAAAAAAAAAAAAAAICbojkIAAAAAAAAAAAAAAAAcFM0BwEAAAAAAAAAAAAAAABuiuYgAAAA\nAAAAAAAAAAAAwE3RHAQAAAAAAAAAAAAAAAC4KZqDAAAAAAAAAAAAAAAAADdFcxAAAAAAAAAAAAAA\nAADgpmgOAgAAAAAAAAAAAAAAANwUzUEAAAAAAAAAAAAAAACAm6I5CAAAAAAAAAAAAAAAAHBTNAcB\nAAAAAAAAAAAAAAAAbormIAAAAAAAAAAAAAAAAMBN0RwEAAAAAAAAAAAAAAAAuCmagwAAAAAAAAAA\nAAAAAAA3RXMQAAAAAAAAAAAAAAAA4KZoDgIAAAAAAAAAAAAAAADcFM1BAAAAAAAAAAAAAAAAgJui\nOQgAAAAAAAAAAAAAAABwUzQHAQAAAAAAAAAAAAAAAG6K5iAAAAAAAAAAAAAAAADATf1/IzD+Or7H\nbr8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6f6dba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We create bins for the histograms.\n",
    "bins = np.linspace(-2., 14., 100)\n",
    "fig, ax = plt.subplots(1, 1, figsize=(8, 4))\n",
    "for i in range(n):\n",
    "    # We update the process independently for\n",
    "    # all trials\n",
    "    X += dt * (-(X - mu) / tau) + \\\n",
    "        sigma_bis * sqrtdt * np.random.randn(ntrials)\n",
    "    # We display the histogram for a few points in\n",
    "    # time\n",
    "    if i in (5, 50, 900):\n",
    "        hist, _ = np.histogram(X, bins=bins)\n",
    "        ax.plot((bins[1:] + bins[:-1]) / 2, hist,\n",
    "                {5: '-', 50: '.', 900: '-.', }[i],\n",
    "                label=f\"t={i * dt:.2f}\")\n",
    "    ax.legend()"
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 2
}
